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234694107648 = 293271113174173
BaseRepresentation
bin1101101010010011011…
…0111110001000000000
3211102210020100222000100
43122210312332020000
512321123142421043
6255452245122400
722645636666620
oct3324466761000
9742706328010
10234694107648
1190595783840
123959a6b9400
1319193061060
14b505b22880
15618922ecd3
hex36a4dbe200

234694107648 has 1920 divisors, whose sum is σ = 999935000064. Its totient is φ = 50960793600.

The previous prime is 234694107617. The next prime is 234694107649. The reversal of 234694107648 is 846701496432.

It is a junction number, because it is equal to n+sod(n) for n = 234694107594 and 234694107603.

It is not an unprimeable number, because it can be changed into a prime (234694107649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3214987740 + ... + 3214987812.

Almost surely, 2234694107648 is an apocalyptic number.

234694107648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234694107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499967500032).

234694107648 is an abundant number, since it is smaller than the sum of its proper divisors (765240892416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234694107648 is a wasteful number, since it uses less digits than its factorization.

234694107648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 234694107648 in words is "two hundred thirty-four billion, six hundred ninety-four million, one hundred seven thousand, six hundred forty-eight".